use proportions to find the missing side length (x) in the two similar figure (First triangle has a side of 13 yards, the bottom of the triangle is x), (The second triangle has a side of 3.25 yards, and the bottom is 4.23 yards, and the other side is x)

Answer 1

To find the missing side length (x) in the two similar triangles, we can set up a proportion using the corresponding sides of the triangles.

First triangle:
Side length: 13 yards
Bottom: x

Second triangle:
Side length: 3.25 yards
Bottom: 4.23 yards
Other side: x

We can set up the proportion as follows:

13/x = 3.25/4.23

To solve for x, we can cross multiply:

3.25 * x = 13 * 4.23

3.25x = 54.99

Now, to isolate x, we can divide both sides of the equation by 3.25:

x = 54.99 / 3.25

x ≈ 16.92

Therefore, the missing side length (x) is approximately 16.92 yards.